Beta Hypothesis: Relativistic dynamics as an effect of a geometric constraint

The Beta Hypothesis proposes a geometric model as an alternative to special relativity, in which mass, energy, and momentum emerge from a helical constrained motion on a fibered space , where represents ordinary spacetime and is an internal circular dimension. The fundamental constraint governs the balance between the components of motion, naturally reproducing known relativistic effects (time dilation, length contraction, relativistic mass) without postulating the Minkowski metric or Lorentz transformations. This article develops the theory in six chapters, demonstrating how relativistic dynamics can emerge from a local constraint on wave propagation.